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F. Libisch, S. Rotter, J. Burgdörfer:
"A modular Green's function method for quantum transport through graphene";
Talk: 5th Vienna Int. Conf. on Mathematical Modelling (MATHMOD), Wien (invited); 2009-02-10 - 2009-02-13.

Advances in the preparation of carbon-based two-dimensional films have made available a monoatomic, hexagonal grid of carbon atoms in the plane. This novel material, called graphene, has already given rise to remarkable discoveries as, e.g., the first observation of the integer quantum Hall effect at room temperature. The transport properties of graphene are determined by the Schrödinger and, in limiting cases, the Dirac equation of quantum mechanics. The latter limit has caused excitement as it may allow to explore relativistic physics in a low energy regime. However, solving the corresponding wave equations is very challenging. To compare with experiments, additional contributions due to rough edges or lattice defects have to be included. The resulting problems require a flexible, powerful technique that can cope with these requirements. We adapted the modular recursive Green's function method (MRGM) for this purpose